1002210112121 has 16 divisors (see below), whose sum is σ = 1023134587200. Its totient is φ = 981361687488.

The previous prime is 1002210112073. The next prime is 1002210112133. The reversal of 1002210112121 is 1212110122001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002210112121 is a prime.

It is a super-2 number, since 2×1002210112121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002210112096 and 1002210112105.

It is not an unprimeable number, because it can be changed into a prime (1002210112151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97685690 + ... + 97695948.

It is an arithmetic number, because the mean of its divisors is an integer number (63945911700).

Almost surely, 2^{1002210112121} is an apocalyptic number.

It is an amenable number.

1002210112121 is a deficient number, since it is larger than the sum of its proper divisors (20924475079).

1002210112121 is a wasteful number, since it uses less digits than its factorization.

1002210112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13768.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1002210112121 its reverse (1212110122001), we get a palindrome (2214320234122).

The spelling of 1002210112121 in words is "one trillion, two billion, two hundred ten million, one hundred twelve thousand, one hundred twenty-one".